, Complexity of the delaunay triangulation of points on surfaces the smooth case, Proceedings of the nineteenth conference on Computational geometry , SCG '03, 2003.
DOI : 10.1145/777792.777823
, thick (resp. thin) black lines are blue elliptic (resp. hyperbolic) ridges; thick (resp. thin) grey lines are red elliptic (resp. hyperbolic) ridges Singularities of Differentiable Maps The classification of critical points, caustics and wave fronts, Figure 3: Ridges of the surface h2, 1985.
, Maple worksheet
, The implicit structure of ridges of a smooth parametric surface, Computer Aided Geometric Design, vol.23, issue.7, 2005.
DOI : 10.1016/j.cagd.2006.04.002
URL : https://hal.archives-ouvertes.fr/inria-00071237
, Smooth surfaces, umbilics, lines of curvatures, foliations, ridges and the medial axis: selected topics, Int. J. of Computational Geometry and Applications, vol.15, issue.5, pp.511-536, 2005.
, Topology driven algorithms for ridge extraction on meshes, 2005.
, Differential Geometry of Curves and Surfaces, 1976.
, Solid Shape, 1990.
, Symmetry of Curves and the Geometry of Surfaces: two Explorations with the aid of Computer Graphics, 1990.
, The sub-parabolic lines of a surface, Mathematics of Surfaces VI, IMA new series 58, pp.79-102, 1996.
, Landmark-based registration using features identified through differential geometry Handbook of Medical Imaging [Por71] I. Porteous. The normal singularities of a submanifold, J. Diff. Geom, vol.5, 1971.
, Geometric Differentiation, 2001.
, The extremal mesh and the understanding of 3d surfaces, International Journal of Computer Vision, vol.19, issue.2, pp.115-128, 1996.